NDA (National Defense Academy) Mathematics: Questions 246  253 of 384
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Question number: 246
» Algebra » Arithmetic Progression
Appeared in Year: 2012
Question
The geometric mean and harmonic mean of two nonnegative observations are and respectively. Then what is the arithmetic mean of the observation equal to?
Choices
Choice (4)  Response  

a.  4  
b.  25  
c.  12.5  
d.  9 
Question number: 247
» Statistics and Probability » Measures of Central Tendency » Mode
Appeared in Year: 2012
Question
What is the mode for the data 20,20,20,21,21,21,21,2122,22,22,22,22,22,22,23,23,23,23,24,24,25?
Choices
Choice (4)  Response  

a.  7  
b.  21  
c.  25  
d.  22 
Question number: 248
» Matrices and Determinants » Adjoint and Inverse of a Square Matrix
Question
If and then what is equal to?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 249
» Algebra » Quadratic Equations with Real Coefficients
Appeared in Year: 2012
Question
What is the sum of the squares of the roots of the equation
Choices
Choice (4)  Response  

a.  270  
b.  422  
c.  327  
d.  424 
Question number: 250
» Algebra » Logarithms and Their Applications
Question
What is the value of
Choices
Choice (4)  Response  

a.  3  
b.  2  
c.  7  
d.  1 
Question number: 251
» Trigonometry » Angles and Their Measures in Degrees and in Radians
Question
What is the angle subtended by pole at a distance on the ground in sexagesimal measure?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 252
» Analytical Geometry of Two and Three Dimensions » Direction Cosines and Direction Ratios
Appeared in Year: 2012
Question
What is the cosine of angle between the planes and
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 
Question number: 253
» Statistics and Probability » Definition of Probability
Question
What is the number of ways that boys and girls can be seated so that boys and girls alternate?
Choices
Choice (4)  Response  

a.  120  
b.  14,400  
c.  12  
d.  72 